{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "2a60c720-6521-4cf8-9fed-fe77a18220ab",
   "metadata": {},
   "source": [
    "# THE VERTEX COVER PROBLEM WITH APPLICATION IN CYBER SECURITY\n",
    "\n",
    "# **Tackling Kill-Chains with Quantum Computing - The Patch Management challenge**\n",
    "\n",
    "_Demonstration is based on work submitted by Mark Carney on November 2022 [[1](#Patch)]_\n",
    "\n",
    "The Min Vertex Cover (MVC) problem is a classical problem in graph theory and computer science, where we aim to find a minimum set of vertices such that each edge of the graph is incident to at least one vertex in the set.\n",
    "\n",
    "By introducing vulnerability graphs, related to attack graphs, we showcase a subsequent method for solving significant cyber security problems with quantum computing using Classiq.\n",
    "\n",
    "In the following example we will suggest a method to prioritize patches by expressing the connectivity of various vulnerabilities on a network with a QUBO, then solving this with Classiq. Such a solution has the potential to effectively remove significant kill-chains (paths to security compromise) within a given network leveraging a quantum computer.\n",
    "\n",
    "## **Introduction**\n",
    "\n",
    "Patch management is a common pain point for any large scaled enterprises or widely distributed systems such as smartphones or IoT devices. Indeed, lack of appropriate patching was indicated as being a central cause for some high profile cybersecurity breaches.\n",
    "\n",
    "A variety of approaches have been proposed to improve the categorization and management of patches, including deep learning technologies.\n",
    "\n",
    "I this demonstration, we suggest a method of prioritizing patch management by analyzing vulnerability data on assets as a bipartite graph. Given the reason that attacks are made up of 'kill chains', which are themselves comprised of sequences of exploits leveraging vulnerabilities (that are coincident - in our model), we suggest a process through which we can disconnect vulnerability sequences to significantly reduce potential kill-chains in a given network.\n",
    "\n",
    "This challenge, however, involves a known NP-hard problem.\n",
    "\n",
    "By leveraging quantum computation and optimization methods for vulnerability analysis of this kind, new avenues of optimization of cyber security and related data may be considered\n",
    "\n",
    "**_<div class=\"alert alert-success\">Our aim is to present a method to prioritise the patching of vulnerabilities by considering their connectivity and solving for this using Classiq.</div>_**\n",
    "\n",
    "## **Bipartite Graph Representation**\n",
    "\n",
    "The heart of the methodology represents vulnerabilities and assets as nodes in a bipartite graph.\n",
    "Quick terminology:\n",
    "\n",
    "### Kill Chains\n",
    "\n",
    "A 'kill chain' is a multi-stage sequence of events that leads to the compromise of a network. What is apparent is that many of the examples of kill-chains involve sequences of vulnerabilities, with the sequence dependent on the assets that are intersected between these vulnerabilities.\n",
    "\n",
    "**_Vulnerabilities:_** _A vulnerability is a weaknesses in the system that results from an error in the design, implementation, or configuration of the operating system or an application software._\n",
    "\n",
    "**_Assets:_** _An asset is an item that has value, for example, data stored in the system. The availability, consistency and integrity of assets are to be preserved._\n",
    "\n",
    "### Attack graphs\n",
    "\n",
    "'Attack graphs' have featured in some interesting approaches to managing and mitigating security threats.\n",
    "They provide various ways regarding how to analyze network-oriented vulnerability data that many cybersecurity information sources generate.\n",
    "\n",
    "Attack graphs are labeled transition systems that model an adversary capabilities\n",
    "within a network and how those can be elevated by transitioning to new states via the exploitation of\n",
    "vulnerabilities (e.g., a weak password, a bug in a software package, the ability to guess a stack address, etc.).\n",
    "\n",
    "For example, attack graphs can discover paths that an adversary may use to escalate his privileges to compromise\n",
    "a given target (e.g., customer database or an administrator account). These sequences of possible vulnerabilities and asset pathways are commonly known as \"kill chains.\" Kill chains depict comprehensive attack scenarios that outline the steps taken to target a specific critical asset.\n",
    "\n",
    "<center><img src=\"https://docs.classiq.io/resources/Attack_graph.jpg\" width=700/></center>\n",
    "\n",
    "_<div class=\"alert alert-info\">Attack Graph example</div>_\n",
    "\n",
    "### Vulnerability graphs\n",
    "\n",
    "We suggest using a graph theoretic way of analyzing vulnerabilities on a computer network called 'vulnerability graphs', derived from the notion of 'attack graphs'.\n",
    "\n",
    "A graph $G = (V, E)$; $V(G)$ a set of vertices and a set of edges $E(G) \\in V \\times V$, $E$ is composed of pairs of elements from $V$.\n",
    "\n",
    "A bipartite graph $G$ is a graph with a partition of $V(G)$ into two sets $A, B$ such that $\\forall(a,b)\\in E(G)$, $a\\in A$ and $b\\in B$.\n",
    "\n",
    "**A vulnerability graph** $G$ is a bipartite graph where one partition of vertices represents network assets, and the other represents vulnerabilities. Let the edges of $G$ represent that a given asset is affected by some detected vulnerability.\n",
    "\n",
    "**A kill chain** is a sequence of vertices $K = {v1 , v2 , . . . v_n }$ from the vulnerability partition of a vulnerability graph $V$ such that for each $v_i, v_j \\in K$, there exists at least one asset $a \\in V$ with $(v_i,a),(v_j,a) \\in E(G)$.\n",
    "\n",
    "- _Whilst the formulation in utilities directed graphs, for simplicity we will use undirected simple graphs to represent the same data._\n",
    "\n",
    "- _It is worth pointing out that the lack of any information coded about severity ratings for vulnerabilities, e.g. CVSS scores. This methodology output is not considered here as critical vulnerabilities (that should always be patched as soon as possible) but rather aims to find the  issues that are widespread and well connected enough to cause potential harm._\n",
    "\n",
    "### Connectivity Dual Graphs\n",
    "\n",
    "The dual graph $D_G$ is constructed as follows. For each vulnerability vertex $v_i \\in V (G)$ for $1  \\leq i \\leq|V(G)|$:\n",
    "\n",
    "1. Add $v_i$ to $V(D_G)$ if $v_i \\in V(D_G)$.\n",
    "2. Enumerate a list of assets vertices ${a0 , a1 , . . .}$ connected to $v_i$.\n",
    "3. Iterating over this list of assets, for each $v_i' $ connected to each host $a_j$:\n",
    "   1. Add $v_i'$ to $V (D_G)$.\n",
    "   2. Add $(v_i,v_i')$ to $E(D_G)$\n",
    "   3. If $(v_i,v_i')$ already exists, add 1 to the weight of that edge.\n",
    "4. Remove $v_i$ from $V (G)$ and continue with $v_i+1$.\n",
    "\n",
    "The dual $D_G$ represents all of the connections between vulnerabilities on attack graphs.\n",
    "\n",
    "### Removing Kill-chains with Vertex Covers\n",
    "\n",
    "Removing the vertices in a vertex cover on $D_G$ from $V(G)$ will leave V totally disconnected on the vulnerability partition to itself via the host partition.\n",
    "\n",
    "By removing every 'vulnerability-host-vulnerability' sub-path in a vulnerability graph $V$ by means of a minimum vertex cover on $D_G$, we have removed a significant amount of kill chains $K$ found in the paths of $G$.\n",
    "\n",
    "### Minimum Vertex Cover: Mathematical Formulation\n",
    "\n",
    "The Min Vertex Cover problem can be formulated as an Integer Linear Program (ILP):\n",
    "\n",
    "Minimize:\n",
    "$\\sum_{i \\in V} x_i$\n",
    "\n",
    "Subject to:\n",
    "$(1 - x_i)(1 - x_j)=0 \\quad  \\forall (i,j) \\in E_0$\n",
    "\n",
    "and\n",
    "$x_i \\in \\{0, 1\\} \\quad \\forall i \\in V$\n",
    "\n",
    "Where:\n",
    "\n",
    "- $x_i$ is a binary variable that equals 1 if node $i$ is in the cover and 0 otherwise\n",
    "- $E_0$ is the set of all edges (connected and not connected)\n",
    "- $V$ is the set of vertices in the graph\n",
    "\n",
    "**_<div class=\"alert alert-success\">By utilizing a quantum computing setup, we can solve an NP-hard problem efficiently.\n",
    "We can reduce the time required to find the most at-risk vulnerabilities and patch them with more priority. We have the potential to iterate over security data more effectively with feedback from new information and thus better our security posture.</div>_**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "48a71748-ae78-4854-a8c9-4f7dbe392728",
   "metadata": {},
   "source": [
    "### _A toy network example_\n",
    "\n",
    "We present the following vulnerability graph $V$, with assets $a$ to $g$, and vulnerabilities $1$ through $8$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "22222695-0365-4a9e-9205-ff0b8e3e1311",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:11.799982Z",
     "iopub.status.busy": "2024-05-07T15:33:11.799735Z",
     "iopub.status.idle": "2024-05-07T15:33:12.368795Z",
     "shell.execute_reply": "2024-05-07T15:33:12.368127Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import networkx as nx\n",
    "\n",
    "edge_dict = {\n",
    "    1: [\"A\", \"B\", \"D\", \"F\"],\n",
    "    2: [\"A\", \"B\"],\n",
    "    3: [\"A\", \"D\", \"E\"],\n",
    "    4: [\"B\", \"C\", \"F\"],\n",
    "    5: [\"G\"],\n",
    "    6: [\"F\", \"G\"],\n",
    "    7: [\"B\", \"C\", \"F\"],\n",
    "    8: [\"C\", \"D\", \"G\"],\n",
    "}\n",
    "\n",
    "B = nx.Graph()\n",
    "B.add_nodes_from([1, 2, 3, 4, 5, 6, 7, 8], bipartite=0)\n",
    "B.add_nodes_from([\"A\", \"B\", \"C\", \"D\", \"E\", \"F\", \"G\"], bipartite=1)\n",
    "for u in range(1, 9):\n",
    "    for v in edge_dict[u]:\n",
    "        B.add_edge(u, v)\n",
    "X, Y = nx.bipartite.sets(B)\n",
    "nx.draw(B, pos=nx.bipartite_layout(B, X), with_labels=True, font_color=\"whitesmoke\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "90026079-0dc9-4ff5-8220-564fa28022ca",
   "metadata": {},
   "source": [
    "**_<div class=\"alert alert-info\">Above is the bipartite graph with vulnerabilities on the left and assets on the right</div>_**\n",
    "\n",
    "An example of a Kill-Chain path incorporated into our Venerability Graph would be for example:\n",
    "\n",
    "<center><img src=\"https://docs.classiq.io/resources/Attack_path.png\" width=700/></center>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "420724e1-ba5f-4091-99f2-306138d1c85a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:12.372866Z",
     "iopub.status.busy": "2024-05-07T15:33:12.372225Z",
     "iopub.status.idle": "2024-05-07T15:33:12.598588Z",
     "shell.execute_reply": "2024-05-07T15:33:12.597854Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAApQAAAHzCAYAAACe1o1DAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuNSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/xnp5ZAAAACXBIWXMAAA9hAAAPYQGoP6dpAAA4HUlEQVR4nO3deXRU9f3/8dfMhEQSESUSrEqMlEVFFNlBZVFU1BJByUaC7MpSsVCkLFqWUqS/Sm1F22rVKoqmX6y0WDcEIoQtBJgIokKCwqDYhCQsWSBhZu7vD8CCZGVmcmd5Ps7pOZp753Pf8aTJ677fd7EYhmEIAAAAuEBWswsAAABAYCNQAgAAwCMESgAAAHiEQAkAAACPECgBAADgEQIlAAAAPEKgBAAAgEcIlAAAAPAIgRIAAAAeIVACAADAIwRKAAAAeIRACQAAAI8QKAEAAOARAiUAAAA8QqAEAACARwiUAAAA8AiBEgAAAB4hUAIAAMAjBEoAAAB4hEAJAAAAjxAoAQAA4BECJQAAADxCoAQAAIBHCJQAAADwCIESAAAAHiFQAgAAwCMESgAAAHiEQAkAAACPECgBAADgEQIlAAAAPEKgBAAAgEcIlAAAAPAIgRIAAAAeIVACAADAIwRKAAAAeIRACQAAAI8QKAEAAOCRMLMLAAAACDRlFU7tKypTpdOt8DCr4qKjFBURurEqdL9zAACAesjNL9HSLIcydhfIUVwu46xtFkmxzSLVr12MUrvHqk2LJmaVaQqLYRhG7bsBAACEpgPF5Zq5fKcy8wpls1rkclcfnc5sv7315VowuINaNotswErNQ6AEAACoRnq2Q7NX7JLTbdQYJH/MZrUozGrR3Pj2Su4a68MK/QOBEgAAoArPZ+TqmZV7PF5n6t1t9fN+bbxQkf/iLm8AAIAfSc92eCVMStIzK/foH9kOr6zlr+hQAgAAnOVAcbn6P7tWFU73edsG3XSFFjxw/TlfKyqrVN6hMr260aHMvcVVrhkRZtWqyX2C9ppKOpQAAABnmbl8p5y1XC/53Kdf61f/+kK/+tcXenWjQ80iG+nFoTerT5voKvd3ug3NXL7TF+X6BR4bBAAAcFpufoky8wpr3S8zr1i7vi/54d//mfO9Mqfcqvvbx2htbtF5+7vchjLzCpVXUKLWMcH3SCE6lAAAAKctzXLIZrXU+3PHTjh14qS7xs6mzWrRm5uD81pKAiUAAMBpGbsL6vR4oCYRYbq0cSNdFtlIrZtHavZ9bRUZbtN7O/Or/YzLbShjT4E3y/UbjLwBAAAklVY45Sgur9O+rw7reM6/VzhdevK9r7Tpm8M1fs5RVK6yCmfQvaYxuL4bAACAC7S/qEx1ffTNvA92a3/xcUlSdFS4BnZooXk/a6eySqdWfVX9NZiGpH1FZWp/ZVPPC/YjBEoAAABJlVU8Jqg6Ow+WnHNTzvuf5+ufj3TVkwPaau2eIp2sYWxen+MECq6hBAAAkBQeduGxyJC0Zd9hxTSJ0DXRjX12HH8VfN8RAADABYiLjlL97+/+nzN3h0c2qn4AbDl9nGBDoAQAAJAUFRGm2At8k02Y1aJbWzVTpdOtvYVl1e4XGx0ZdDfkSFxDCQAA8IN+7WL0Rtb+Wh8ddHvrZmp1+anw2SwyXPffGKO46Ej9bcN+lVW6qvyMzWpRv7YxXq/ZHxAoAQAATkvtHqvXNu2rdb9JfVv98M8nTrr0TVG55r6/W//YfrDaz7jchtJ6xHqjTL9jMQyjrnfIAwAABL0hz3+qrQeOSVab19a0WS3q1Spab4zu7rU1/QnXUAIAAJz2zjvvaM3vxkruqsfWFyrMatGCwR28uqY/IVACAICQd+LECU2cOFEJCQm6o/vN+vXPrvfq+vPi26vlBd7wEwi4hhIAAIS03NxcJSYm6osvvtALL7yg8ePHy2KxqNxt0zMr93i8/hN3t1NS1+C8dvIMOpQAACBkvf322+rUqZPKysqUlZWlCRMmyGI59TzJn/dro4UPdlBEmPWHZ0zWlc1qUUSYVb97sIMm9mvti9L9CjflAACAkFNeXq7HH39cL7/8soYOHaq//vWvatKkSZX7Higu18zlO5WZVyib1VLjI4XObL+99eVaMLhDUI+5z0agBAAAIeWLL75QYmKivv76ay1evFijRo36oStZk9z8Ei3NcihjT4EcReU6O0BZdOqh5f3axiitR6xax1QdToMVgRIAAISM1157TRMnTtQ111yj//u//9ONN954QeuUVTi1r6hMlU63wsOsiouOCso34NQVgRIAAAS90tJSTZw4UUuWLNHIkSO1ePFiRUUF3zu1zRK6URoAAISEHTt2KDExUd9++62WLFmiYcOGmV1S0OEubwAAEJQMw9CLL76obt26KSIiQlu3biVM+giBEgAABJ1jx44pJSVF48aN04gRI7R582Zdd911ZpcVtBh5AwCAoLJ9+3YlJiaqoKBA6enpSkpKMrukoEeHEgAABAXDMLR48WL17NlTTZs21fbt2wmTDYRACQAAAt7hw4f10EMPadKkSRo3bpw2btyo1q2D/w01/oKRNwAACGhZWVlKSkrS0aNHtXz5cg0aNMjskkIOHUoAABCQ3G63Fi1apNtuu01XXHGF7HY7YdIkBEoAABBwCgsLFR8fr6lTp2ry5MnKzMxUXFyc2WWFLEbeAAAgoGRmZiolJUUnTpzQf/7zH91///1mlxTy6FACAICA4Ha7tWDBAvXr10/XXnutcnJyCJN+gkAJAAD8Xn5+vgYMGKAnn3xS06dPV0ZGhq6++mqzy8JpjLwBAIBfW7NmjVJTU+V2u/Xxxx/rrrvuMrsk/AgdSgAA4JdcLpdmz56t/v3764YbblBOTg5h0k/RoQQAAH7n4MGDSk1N1bp16zRnzhzNmjVLNpvN7LJQDQIlAADwKx9//LGGDRumsLAwrV69Wn379jW7JNSCkTcAAPALJ0+e1IwZMzRgwAB17txZn332GWEyQNChBAAApjtw4ICSk5OVlZWlhQsX6oknnpDVSt8rUBAoAQCAqd577z2NGDFCUVFRWrdunXr16mV2Sagnoj8AADBFZWWlpkyZovj4eN16662y2+2EyQBFhxIAADS4b775RklJScrJydGzzz6rxx9/XBaLxeyycIEIlAAAoEH985//1OjRo9WsWTNt2LBBXbt2NbskeIiRNwAAaBAnTpzQz3/+cw0ZMkT9+/fX9u3bCZNBgg4lAADwudzcXCUlJWnXrl164YUXNH78eEbcQYQOJQAA8Km3335bnTp1UmlpqbKysjRhwgTCZJAhUAIAAJ8oLy/X2LFjNXToUMXHx2vbtm3q2LGj2WXBBxh5AwAAr/vyyy+VmJiovXv36uWXX9aoUaPoSgYxOpQAAMCrXn/9dXXp0kUul0tbtmzR6NGjCZNBjkAJAAC8orS0VMOHD9eIESOUlJSk7Oxs3XjjjWaXhQbAyBsAAHhsx44dSkpK0oEDB7RkyRINGzbM7JLQgOhQAgCAC2YYhl566SV1795d4eHh2rp1K2EyBBEoAQDABTl27JiGDh2qRx99VMOHD9fmzZt13XXXmV0WTMDIGwAA1Nv27duVmJiogoICpaenKykpyeySYCI6lAAAoM4Mw9DixYvVs2dPXXrppdq+fTthEgRKAABQN4cPH9ZDDz2kSZMmady4cdqwYYNat25tdlnwA4y8AQBArbKyspSUlKSjR49q+fLlGjRokNklwY/QoQQAANVyu91atGiRbrvtNl1xxRWy2+2ESZyHQAkAAKpUVFSk+Ph4TZ06VZMnT1ZmZqbi4uLMLgt+iJE3AAA4z/r165WSkqLjx4/rP//5j+6//36zS4Ifo0MJAAB+4Ha7tWDBAvXt21dxcXHKyckhTKJWBEoAACBJys/P14ABA/Tkk09q+vTpysjI0NVXX212WQgAjLwBAIDWrFmj1NRUud1uffzxx7rrrrvMLgkBhA4lAAAhzOVyac6cOerfv79uuOEG5eTkECZRb3QoAQAIUQcPHlRqaqrWrVunOXPmaNasWbLZbGaXhQBEoAQAIACVVTi1r6hMlU63wsOsiouOUlRE3f+sf/zxxxo2bJjCwsK0evVq9e3b13fFIugRKAEACBC5+SVamuVQxu4COYrLZZy1zSIptlmk+rWLUWr3WLVp0aTKNZxOp5566iktXLhQAwYM0JIlS9S8efMGqR/By2IYhlH7bgAAwCwHiss1c/lOZeYVyma1yOWu/k/3me23t75cCwZ3UMtmkf9b58ABpaSkaPPmzfrtb3+rJ554QlYrt1PAcwRKAAD8WHq2Q7NX7JLTbdQYJH/MZrUozGrR3Pj2Su4aq/fee08jRoxQVFSU0tPT1atXLx9WjVBDoAQAwE89n5GrZ1bu8Xid9s69+uCZxzVw4ED9/e9/V3R0tBeqA/6HQAkAgB9Kz3Zo+rs7vbZe/0vy9bfpI2WxWLy2JnAGN+UAAOBnDhSXa/aKXVVui2xk06heLdXhykt001WXqGnjRpr57y/1rx3/rXHNzPKf6NvDx8+5phLwFq7EBQDAz8xcvlPOaq6XvDSykSb0vlY/vTxKX+WX1nlNp9vQzOXe63gCZ6NDCQCAH8nNL1FmXmG12w+VVqj3HzaosKxS7X/SRMvGdKnTui63ocy8QuUVlKh1TNWPFAIuFB1KAAD8yNIsh2zW6q9zPOkyVFhWeUFr26wWvbnZcaGlAdUiUAIA4EcydhfU6/FA9eFyG8rYU+CTtRHaCJQAAPiJ0gqnHMXlPj2Go6hcZRVOnx4DoYdACQCAn9hfVCZfP8vPkLSvqMzHR0GoIVACAOAnKp3uoDoOQgeBEgAAPxEe1jB/lhvqOAgd/EQBAOAn4qKj5Ov32FhOHwfwJgIlAAB+IioiTLE+fpNNbHSkoiJ4DDW8i58oAAD8SL92MXoja3+Njw4a2uUqNbkoTDFNIiRJfdtGq8Ulp/55afa3Kq1wVfk5m9Wifm1jvF80Qp7FMAxf31AGAADqKDe/RHf9cV2N+3zyWA9ddWnjKrf1f26TDh49Ue1nV03uzZty4HV0KAEA8CMtGhtqevygjoTHyGKr+s/0XYs313tdm9WiXq2iCZPwCa6hBADAT9jtdnXu3Fn7ly1UozCbV9cOs1q0YHAHr64JnEGgBADAZIZh6C9/+Yt69uypJk2aaOvajzV/8E1ePca8+PZq6eMbfhC6GHkDAGCio0ePauzYsVq2bJkmTpyoZ555RhdddJFaSyosrdAzK/d4fIwn7m6npK6xnhcLVIObcgAAMMm2bduUmJiowsJCvfLKKxoyZMh5+6RnOzR7xS453UaNd37/mM1qUZjVonnx7QmT8DlG3gAANDDDMLR48WL16tVLzZo1k91urzJMSlJy11itmtxHvVpFSzoVFGtyZnuvVtFaNbkPYRINgg4lAAAN6MiRIxo9erTeffddTZo0Sf/v//0/RURE1OmzufklWprlUMaeAjmKynX2H3CLTj20vF/bGKX1iOVubjQoAiUAAA1ky5YtSkpK0pEjR/Tqq69q8ODBF7xWWYVT+4rKVOl0KzzMqrjoKN6AA9MQKAEA8DHDMPTHP/5Rv/rVr3TLLbfoH//4h+Li4swuC/AarqEEAMCHiouLNWjQIE2ZMkWPPfaYMjMzCZMIOvTGAQDwkU2bNik5OVklJSVasWKFBg4caHZJgE/QoQQAwMvcbrd+//vfq3fv3rrqqquUk5NDmERQI1ACAOBFhYWFio+P17Rp0zRlyhStXbtWsbE8ugfBjZE3AABesn79eqWkpOj48eN6//33dd9995ldEtAg6FACAOAht9uthQsXqm/fvoqLi1NOTg5hEiGFQAkAgAcOHTqk+++/XzNmzNC0adOUkZGhq6++2uyygAbFyBsAgAu0bt06paSk6OTJk/roo490zz33mF0SYAo6lAAA1JPL5dL8+fPVr18/tWnTRjk5OYRJhDQ6lAAA1EN+fr7S0tK0evVqPfnkk/r1r3+tsDD+nCK08f8AAADqaM2aNUpNTZVhGFq5cqX69+9vdkmAX2DkDQBALVwul+bMmaP+/fvrhhtuUE5ODmESOAsdSgAAavD9998rNTVVa9eu1Zw5czRr1izZbDazywL8CoESAIBqrFq1SqmpqbJarVq9erX69u1rdkmAX2LkDQDAjzidTj311FO6++67dfPNN+uzzz4jTAI1oEMJAMBZDh48qJSUFK1fv17z58/X9OnTZbXSfwFqQqAEAOC0jz/+WGlpaQoPD1dGRoZ69+5tdklAQOCUCwAQ8pxOp2bMmKEBAwaoS5cuysnJIUwC9UCHEgAQ0r799lulpKRo06ZNWrhwoZ544glG3EA9ESgBACHrgw8+0MMPP6zGjRtr7dq1uvXWW80uCQhInIIBAELOyZMnNW3aNN1///3q0aOHcnJyCJOAB+hQAgBCisPhUHJysrKzs/X73/9eU6ZMYcQNeIhACQAIGStWrNCIESPUpEkTZWZmqkePHmaXBAQFTskAAEGvsrJSU6ZM0QMPPKDbb79ddrudMAl4ER1KAEBQ++abb5ScnCy73a5nn31Wjz/+uCwWi9llAUGFQAkACFrLly/XyJEjddlll2nDhg3q2rWr2SUBQYmRNwAg6FRUVGjSpEl68MEHdeedd8putxMmAR+iQwkACCp79+5VUlKSdu7cqcWLF2vixImMuAEfI1ACAILGsmXLNGbMGDVv3lwbN25U586dzS4JCAmMvAEAAe/EiROaOHGiEhMTNWDAAG3bto0wCTQgOpQAgICWm5urxMREffnll/rLX/6iRx99lBE30MDoUAIAAlZ6ero6deqksrIybd68WePGjSNMAiYgUAIAAs7x48f16KOPKiUlRQMHDtS2bdvUsWNHs8sCQhYjbwBAQNm9e7cSExO1Z88evfTSSxozZgxdScBkdCgBAAFj6dKl6ty5syoqKpSVlaWxY8cSJgE/QKAEAPi98vJyjRkzRmlpaXrwwQe1detW3XTTTWaXBeA0Rt4AAL/25ZdfKjExUXv37tWrr76qESNG0JUE/AwdSgCA33r99dfVpUsXuVwuZWdna+TIkYRJwA8RKAEAfqesrEwjRozQiBEjlJiYqOzsbLVv397ssgBUg5E3AMCvfP7550pMTNT+/fv1+uuv6+GHHza7JAC1oEMJAPALhmHolVdeUbdu3WSz2bR161bCJBAgCJQAANOVlpZq2LBhGjNmjFJTU5WVlaXrr7/e7LIA1BEjbwCAqXbs2KGEhAQdPHhQS5cu1dChQ80uCUA90aEEAJjCMAy99NJL6tatmxo3bqxt27YRJoEARaAEADS4Y8eOaejQoXr00Uc1cuRIbdq0SW3btjW7LAAXiJE3AKBB2e12JSYmKj8/X+np6UpKSjK7JAAeokMJAGgQhmHoz3/+s3r06KEmTZpo+/bthEkgSBAoAQA+d/ToUSUmJmrixIkaO3asNm7cqNatW5tdFgAvYeQNAPCprVu3KikpSYWFhVq2bJmGDBlidkkAvIwOJQDAJwzD0HPPPadevXqpWbNmstvthEkgSBEoAQBed/jwYT300EN6/PHHNWHCBK1fv16tWrUyuywAPsLIGwDgVVu2bFFSUpKOHDmi5cuXa9CgQWaXBMDH6FACALzCMAz94Q9/0K233qoWLVrIbrcTJoEQQaAEAHisuLhYDzzwgH75y1/q8ccf17p16xQXF2d2WQAaCCNvAIBHNm3apOTkZJWWlmrFihUaOHCg2SUBaGB0KAEgRJVVOLXr4FHZHYe16+BRlVU46/V5t9ut3//+9+rdu7euvvpq2e12wiQQouhQAkAIyc0v0dIshzJ2F8hRXC7jrG0WSbHNItWvXYxSu8eqTYsm1a5TWFioESNG6P3339e0adM0f/58NWrUyOf1A/BPFsMwjNp3AwAEsgPF5Zq5fKcy8wpls1rkclf/q//M9ttbX64FgzuoZbPIc7avX79eKSkpOn78uJYsWaL77rvP1+UD8HOMvAEgyKVnO9T/2bXa+HWRJNUYJs/evvHrIvV/dq3Ssx2STo24Fy5cqL59+youLk45OTmESQCS6FACQFB7PiNXz6zc4/E642+9Wp++MF0fffSRZsyYoXnz5iksjKumAJzCbwMACFLp2Q6vhElJ+suGb1VREqmPPvpI99xzj1fWBBA86FACQBA6UFyu/s+uVYXTXeX2QTddoQUPXF/ltr9t2K9n13x97hcNQ+FhVq2e0ve8ayoBgA4lAAShmct3ylnLtZKS9NynX+u7IyfO+VpuQdn5O1oschmn1n1jdHdvlQkgSBAoASDI5OaXKDOvsE77ZuYVa9f3JXXa1+U2lJlXqLyCErWOqf6RQgBCD3d5A0CQWZrlkM1q8cnaNqtFb252+GRtAIGLQAkAQSZjd0GtjwY6o0lEmC5t3Oic/9XE5TaUsafAG2UCCCKMvAEgiJRWOOUoLq/z/q8O63je1274TUaNn3EUlauswqmoCP6EADiF3wYAEET2F5WpPo/umPfBbu0vPl6vYxiS9hWVqf2VTev1OQDBi0AJAEGksprHBFVn58GSOt+U48lxAAQ3rqEEgCASHtYwv9Yb6jgAAgO/EQAgiMRFR8k393f/j+X0cQDgDAIlAASRqIgwxfr4TTax0ZHckAPgHARKAAgy/drF+PQ5lP3axvhkbQCBi0AJAEEmtXtsnZ9DWV8ut6G0HrE+WRtA4LIYhuGb3zoAANMk/nmdtjiOShbv9Q1sVot6tYrmXd4AzkOHEgCCzCeffKK1z4yT4XJ6dd0wq0ULBnfw6poAggOBEgCChMvl0q9//Wvdc8896timpWYNaOvV9efFt1dLH9/wAyAwcZseAASBgwcPaujQocrMzNT8+fM1ffp0Wa1WVVrD9czKPR6v/8Td7ZTUlWsnAVSNaygBIMB98sknSk1NVVhYmNLT09W7d+9ztqdnOzR7xS453Ua9btaxWS0Ks1o0L749YRJAjRh5A0CAOnvEfcsttygnJ+e8MClJyV1jtWpyH/VqFS1JtT5S6Mz2Xq2itWpyH8IkgFrRoQSAAHT2iPs3v/nNDyPu2uTml2hplkMZewrkKCrX2X8ALDr10PJ+bWOU1iNWrWOa+Kx+AMGFQAkAAaa2EXddlVU4ta+oTJVOt8LDrIqLjuINOAAuCIESAAKEy+XS3LlzNX/+fN1111164403FBPDW2sAmI9TUQAIANXdxQ0A/oBACQB+7uwRd0ZGxgWPuAHAVzi9BQA/Vde7uAHAbHQoAcAPMeIGEEgIlADgZxhxAwg0nO4CgJ9gxA0gUNGhBAA/8P3332vo0KFat24dI24AAYdACQAm++STT5SWliabzcaIG0BA4vQXAExy9oi7Y8eOjLgBBCw6lABgAkbcAIIJgRIAGhgjbgDBhtNhAGggjLgBBCs6lADQABhxAwhmBEoA8DFG3ACCHafHAOAjjLgBhAo6lADgA2ePuH/zm99oxowZjLgBBC0CJQB42dkj7jVr1qhPnz5mlwQAPsXpMgB4SVUjbsIkgFBAhxIAvIARN4BQRqAEAA8x4gYQ6jh9BoALxIgbAE6hQwkAF4ARNwD8D4ESAOqJETcAnIvTaQCoI0bcAFA1OpQAUAeMuAGgegRKAKgFI24AqBmn1wBQDUbcAFA3dCgBoAqMuAGg7giUAPAjjLgBoH443QaA0xhxA8CFoUMJAGLEDQCeIFACCHmMuAHAM5x+AwhZjLgBwDvoUAIISYy4AcB7CJQAQg4jbgDwLk7HAYQMRtwA4Bt0KAGEBEbcAOA7BEoAQY8RNwD4FqfnAIIWI24AaBh0KAEEJUbcANBwCJQAgg4jbgBoWJyuAwgajLgBwBx0KAEEBUbcAGAeAiWAgMeIGwDMxek7gIB19oj75ptvZsQNACahQwkgIDHiBgD/QaAEEHAYcQOAf+F0HkDAYMQNAP6JDiWAgMCIGwD8F4ESgN9jxA0A/o3TewB+ixE3AAQGOpQA/BIjbgAIHARKAH6HETcABBZO9wH4DUbcABCY6FAC8AuMuAEgcBEoAZiOETcABDZO/wGYhhE3AAQHOpQATMGIGwCCB4ESQL2UVTi1r6hMlU63wsOsiouOUlRE/X6VMOIGgOBCoARQq9z8Ei3Ncihjd4EcxeUyztpmkRTbLFL92sUotXus2rRoUu06LpdLc+fO1fz589W/f3+9+eabiomJ8Xn9AADfshiGYdS+G4BQdKC4XDOX71RmXqFsVotc7up/XZzZfnvry7VgcAe1bBZ5zvazR9zz5s1jxA0AQYRACaBK6dkOzV6xS063UWOQ/DGb1aIwq0Vz49sruWuspHNH3G+//TYjbgAIMgRKAOd5PiNXz6zc4/E6U/q3UeHaNxlxA0CQI1ACOEd6tkPT393ptfWKP1ysXyXczogbAIIYgRLADw4Ul6v/s2tV4XTXaf9Hb7tGj/drpdyCUj3wYvZ52w3DULjNojW/7HfeNZUAgOBBuwDAD2Yu3ylnHa+XbNEkQmNvvUbllc5q97FYLHLLopnLvdfxBAD4HwIlAEmnHg2UmVdY5xtwnrjrp9rx3TF9frCkxv1cbkOZeYXKK6h5PwBA4CJQApAkLc1yyGa11GnfzrFNdff1zfX0ytw67W+zWvTmZocn5QEA/BiBEoAkKWN3QZ26k1aLNGtAW/3T/r1yC8rqtLbLbShjT4GnJQIA/BSBEoBKK5xyFJfXad+kzlfpyqYReu7Tb+p1DEdRucoqqr/eEgAQuAiUALS/qEx1uXKyaeMwPdbnWv01c78Ol5+s1zEMSfuK6tbRBAAEFgIlAFXW8TFBj/dtpaPHT2rplm99ehwAQGAJM7sAAOYLD6v93PKaZo2V0OlKLVyZq+ZNIn74ekSYVWE2q65sepHKKpw6eqL6sXZdjgMACDwESgCKi46SRapx7B3TJEI2q0WzBrTVrAHnb181qaeWZB3QwpV5VX7ecvo4AIDgQ6AEoKiIMMU2i9T+Gm7MyS0o02P/d/4Dyif1vVZR4WF6emWuHIePV/v52OhIRUXwKwcAghG/3QFIkvq1i9EbWfurfXTQkeMntXp34XlfH9btakmqctsZNqtF/drGeKdQAIDf4YImAJKk1O6xdX5LTn253IbSesT6ZG0AgPnoUAKQJLVp0US3tY7WhrxCGarbG3MkacQbOTVut1kt6tUqWq1jmnhYIQDAX9GhBCBJKiws1H/fe1auk5Wq+fac+gmzWrRgcAevrQcA8D8ESgDasGGDbrnlFuWsX62H218k1aNDWZt58e3Vslmk19YDAPgfAiUQwgzD0DPPPKM+ffrommuuUU5OjuaPvE9T727rlfWfuLudkrpy7SQABDuLYRi+uQofgF8rLi7WiBEj9N5772natGmaP3++GjVq9MP29GyHZq/YJafbqNfNOjarRWFWi+bFtydMAkCIIFACIWjz5s1KSkpSaWmpXn/9df3sZz+rcr8DxeWauXynMvMKZbNaagyWZ7bf3vpyLRjcgTE3AIQQAiUQQgzD0B//+EdNmzZNXbp00T/+8Q/FxtbeRczNL9HSLIcy9hTIUVR+zi07Fp16aHm/tjFK6xHL3dwAEIIIlECIOHz4sEaNGqV//etfmjJlip5++mmFh4fXe52yCqf2FZWp0ulWeJhVcdFRvAEHAEIcgRIIAVu3blVCQoKOHDmi1157TQ888IDZJQEAggh3eQNBzDAMLV68WL169VLz5s1lt9sJkwAAryNQAkHq6NGjSkxM1KRJkzRhwgStX79ecXFxZpcFAAhCXPgEBKHt27crMTFRhw4d0jvvvKOHHnrI7JIAAEGMDiUQRAzD0F//+lf17NlTTZs21fbt2wmTAACfI1ACQaKkpERDhw7V+PHjNWbMGG3YsEE//elPzS4LABACGHkDQWDHjh1KSEjQ999/r/T0dCUlJZldEgAghNChBAKYYRh6+eWX1b17dzVu3Fjbtm0jTAIAGhyBEghQpaWlevjhhzV27Fg9/PDD2rRpk9q0aWN2WQCAEMTIGwhAn3/+uRISEnTgwAEtXbpUQ4cONbskAEAIo0MJBJjXXntN3bp1U1hYmLZu3UqYBACYjkAJBIjy8nKNHDlSI0eOVEpKirKysnTdddeZXRYAAIy8gUDw5ZdfKiEhQd98841ef/11Pfzww2aXBADAD+hQAn7uzTffVJcuXWQYhrKzswmTAAC/Q6AE/NTx48c1duxYDRs2TEOGDNGWLVt0ww03mF0WAADnYeQN+KE9e/YoISFBe/bs0SuvvKKRI0fKYrGYXRYAAFWiQwn4mfT0dHXu3FkVFRXasmWLRo0aRZgEAPg1AiXgJ06cOKHx48crJSVF8fHxys7OVocOHcwuCwCAWjHyBvxAXl6eEhMT9cUXX+jFF1/U2LFj6UoCAAIGHUrAZO+88446deqkkpISbd68WY888ghhEgAQUAiUgEkqKir02GOPKSEhQffee6+2bdumjh07ml0WAAD1xsgbMMHXX3+tpKQk7dixQy+88ILGjx9PVxIAELAIlEADW758uUaOHKno6Ght3LhRnTt3NrskAAA8wsgbaCCVlZWaPHmyHnzwQd15553atm0bYRIAEBToUAINYP/+/UpMTJTdbtef/vQnPfbYY4y4AQBBg0AJ+Nh7772n4cOH65JLLtH69evVrVs3s0sCAMCrGHkDPnLy5Ek98cQTio+PV+/evWW32wmTAICgRIcS8IEDBw4oOTlZW7Zs0aJFizR58mRG3ACAoEWgBLzsww8/1LBhwxQZGal169apZ8+eZpcEAIBPMfIGvMTpdGrGjBm677771KNHD9ntdsIkACAk0KEEvOC7775TSkqKNm7cqN/97neaOnWqrFbO1wAAoYFACXho5cqVSktLU3h4uD799FPddtttZpcEAECDooUCXCCXy6WnnnpKAwYMUKdOnWS32wmTAICQRIcSuADff/+9hg4dqnXr1mn+/PmaPn06I24AQMgiUAL1tHr1aqWmpspqtWrNmjXq06eP2SUBAGAqWipAHblcLs2dO1d33XWXOnToILvdTpgEAEB0KIE6yc/PV1pamlavXq05c+Zo1qxZstlsZpcFAIBfIFACtVi7dq2Sk5Pldrv1ySef6M477zS7JAAA/Aojb6Aabrdbv/3tb3XHHXfouuuuU05ODmESAIAqECiBKhw6dEj33XefnnrqKc2aNUurVq3ST37yE7PLAgDALzHyBn5k/fr1Sk5OVmVlpT766CPdfffdZpcEAIBfo0MJnOZ2u/W73/1Offv2VatWrWS32wmTAADUAYESkFRUVKT4+HhNnz5d06ZN05o1a3TVVVeZXRYAAAGBkTdC3qZNm5SUlKTy8nJ98MEHuvfee80uCQCAgEKHEiHLMAwtWrRIvXv3VsuWLWW32wmTAABcAAIlQtLhw4c1aNAgTZ06VZMnT9ann36qli1bml0WAAABiZE3Qs6WLVuUmJioY8eOacWKFRo4cKDZJQEAENDoUCJkGIahP/3pT7rtttvUokUL2e12wiQAAF5AoERIOHLkiIYMGaJf/OIXmjhxojIzM3XNNdeYXRYAAEGBkTeC3rZt25SYmKiioiK9++67Gjx4sNklAQAQVOhQImgZhqEXXnhBvXr10mWXXabt27cTJgEA8AECJYLSsWPHlJycrJ///Od65JFHtGHDBrVq1crssgAACEqMvBF0cnJylJCQoIKCAi1btkxDhgwxuyQAAIIaHUoEDcMw9OKLL6pHjx66+OKLtW3bNsIkAAANgECJoFBaWqq0tDSNGzdOo0aN0qZNm9S6dWuzywIAICQw8kbA27lzpxISEvTdd9/p7bffVnJystklAQAQUuhQImAZhqFXX31V3bp1U0REhLZu3UqYBADABHQoYYqyCqf2FZWp0ulWeJhVcdFRioqo+49jWVmZJkyYoCVLlmjMmDF67rnn1LhxYx9WDAAAqkOgRIPJzS/R0iyHMnYXyFFcLuOsbRZJsc0i1a9djFK7x6pNiybVrvPFF18oISFB+/bt0xtvvKG0tDSf1w4AAKpnMQzDqH034MIdKC7XzOU7lZlXKJvVIpe7+h+5M9tvb325FgzuoJbNIs/ZvmTJEo0fP17XXnutli1bpuuvv97X5QMAgFoQKOFT6dkOzV6xS063UWOQ/DGb1aIwq0Vz49sruWusysvL9dhjj+nVV1/ViBEj9PzzzysqKsqHlQMAgLoiUMJnns/I1TMr93i8zvBbmund3zyivXv36s9//rNGjBjheXEAAMBruIYSPpGe7fBKmJSk1+3FanRVJ215+23deOONXlkTAAB4D4ESXneguFyzV+yqdb+Wl12k0T1j1bNVM8U0CddJl6E9BWX66IsCLdt+UBVO96kdDUPWrslqeiXv4gYAwB8x8obXDXslSxu/LqrxmsneraP17JD2qnS6tWLHf5V7qEyNbFZ1atlUd1/fXMs/+6/mvL/7h/1tVot6tYrWG6O7N8S3AAAA6oEOJbwqN79EmXmFNe5z1aUXadGDN+jg0RMa+UaOCksrf9j29tbvtPjTxurdJvqcz7jchjLzCpVXUKLWMdU/UggAADQ83pQDr1qa5ZDNaqlxn9E9YxUVEaan3vvqnDB5huPwcb255dvzvm6zWvTmZofXagUAAN5BoIRXZewuqPXxQH3bRstRfFw53x6r19out6GMPQWelAcAAHyAQAmvKa1wylFcXuM+UeE2XXHJRco9VHpBx3AUlauswnlBnwUAAL5BoITX7C8qU213eF18+n3dZRWuCzqGIWlfUdkFfRYAAPgGgRJeU3nmMT81KD3dXYyKsPn0OAAAoOEQKOE14WG1/ziVVbqUf6xCbZpf+GsT63IcAADQcPjLDK+Ji45Szfd3n7I2t1CxzSJ181WX1PsYltPHAQAA/oNACa+JighTbLPIWvd7ZZND5ZVO/WbgdYqOanTe9paXXaS0bldX+dnY6EhFRfD4VAAA/Al/meFV/drF6I2s/TU+OujA4RN6YvkXWvRge/1nfHf9e8d/lVtQpkY2i25p2VT3XB+jf332/Xmfs1kt6tc2xpflAwCAC8CrF+FVufkluuuP6+q07zXNGmtkz1j1uvYyxTSJUKXLrd35pfpwV4GW2Q/qpOv8H81Vk3vzphwAAPwMgRJel/jnddriOCpZvHdFBe/yBgDAf3ENJbxqzZo1WrdovAyXdx8+Hma1aMHgDl5dEwAAeAeBEl7hcrk0b9489e/fXx1aXalZA9p6df158e3Vsg43/AAAgIbHTTnwWEFBgVJTU7V69WrNnj1bTz75pGw2myqt4Xpm5R6P13/i7nZK6hrrhUoBAIAvcA0lPLJu3TolJyfL5XLprbfe0p133nnO9vRsh2av2CWn26jxzu8fs1ktCrNaNC++PWESAAA/x8gbF8TtdmvhwoW644471LZtW+Xk5JwXJiUpuWusVk3uo16toiWdCoo1ObO9V6torZrchzAJAEAAoEOJeisqKtLDDz+sDz74QDNnztTcuXMVFlb71RO5+SVamuVQxp4COYrKdfYPnkWnHlrer22M0nrE8mggAAACCIES9bJp0yYlJSWpvLxcb7zxhu69994LWqeswql9RWWqdLoVHmZVXHQUb8ABACBAEShRJ4Zh6Nlnn9WvfvUrdevWTenp6WrZsqXZZQEAAD/ANZSo1eHDhzV48GD98pe/1C9+8Qt9+umnhEkAAPADZoyo0datW5WQkKAjR47o3//+t+Lj480uCQAA+Bk6lKiSYRh6/vnndeutt6p58+ay2+2ESQAAUCUCJc5z7NgxJSUl6bHHHtO4ceO0fv16xcXFmV0WAADwU4y8cY6cnBwlJCSooKBAy5Yt05AhQ8wuCQAA+Dk6lJB0asT90ksvqUePHrr44ou1bds2wiQAAKgTAiVUWlqqYcOG6dFHH9XIkSO1adMmtW7d2uyyAABAgGDkHeI+//xzJSQk6MCBA3rrrbeUkpJidkkAACDA0KEMYa+//rq6deumsLAwbd26lTAJAAAuCIEyBJWXl2vUqFEaMWKEkpOTlZWVpeuuu87ssgAAQIBi5B1ivvrqKyUkJGjv3r167bXXNHz4cLNLAgAAAY4OZQh566231KVLFzmdTm3ZsoUwCQAAvIJAGQJOnDihcePGKTU1VYMGDVJ2drZuvPFGs8sCAABBgpF3kMvLy1NCQoK+/PJLvfTSSxozZowsFovZZQEAgCBChzKIvfPOO+rUqZNKS0u1efNmjR07ljAJAAC8jkAZhCoqKjRp0iQlJCRowIAB2rZtmzp27Gh2WQAAIEgx8g4y+/btU2JionJycvT8889rwoQJdCUBAIBPESiDyIoVKzR8+HBdeuml2rhxo7p06WJ2SQAAIAQw8g4CJ0+e1NSpU/XAAw+oT58+2r59O2ESAAA0GDqUAe7AgQNKSkpSdna2Fi1apMmTJzPiBgAADYpAGcA+/PBDDRs2TJGRkVq3bp169uxpdkkAACAEMfIOQE6nU7NmzdJ9992n7t27y263EyYBAIBp6FAGmIMHD2ro0KFav369nn76aU2bNk1WK+cFAADAPATKALJ69WoNHTpUNptNa9asUe/evc0uCQAAgJF3IHC5XJo7d67uuusu3XTTTcrJySFMAgAAv0GH0s/l5+crLS1Nq1ev1pw5czRr1izZbDazywIAAPgBgdKPrV27VikpKXK5XPrkk0905513ml0SAADAeRh5+yG3262nn35ad9xxh9q2baucnBzCJAAA8FsESj9TWFion/3sZ5o5c6ZmzJihVatW6Sc/+YnZZQEAAFSLkbcf2bhxo5KSknT8+HF9+OGHGjBggNklAQAA1IoOpR8wDEOLFi1Snz59FBsbK7vdTpgEAAABg0BpssOHD2vQoEGaOnWqJk+erE8//VQtW7Y0uywAAIA6Y+RtouzsbCUmJuro0aNasWKFBg4caHZJAAAA9UaH0gSGYWjx4sW69dZbFRMTo+3btxMmAQBAwCJQNrCjR48qMTFRkyZN0oQJE5SZmam4uDizywIAALhgjLwbkN1uV0JCgg4dOqR33nlHDz30kNklAQAAeIwOZQMwDEMvvviievbsqUsuuUTbt28nTAIAgKBBoPSx0tJSpaWlady4cRo5cqQ2btyon/70p2aXBQAA4DWMvH3o888/V0JCgr799lu99dZbSklJMbskAAAAr6ND6SN///vf1a1bNzVq1Ehbt24lTAIAgKBFoPSy8vJyjRw5UqNGjVJKSoo2b96sdu3amV0WAACAzzDy9qKvvvpKCQkJ2rt3r1577TUNHz7c7JIAAAB8jg6llyxdulRdunSR0+nUli1bCJMAACBkhHygLKtwatfBo7I7DmvXwaMqq3DW6/MnTpzQo48+qrS0NA0ePFjZ2dm68cYbfVQtAACA/wnJkXdufomWZjmUsbtAjuJyGWdts0iKbRapfu1ilNo9Vm1aNKl2nby8PCUkJOjLL7/U3/72N40ePVoWi8Xn9QMAAPgTi2EYRu27BYcDxeWauXynMvMKZbNa5HJX/62f2X5768u1YHAHtWwWec72ZcuWafTo0WrRooWWLVumjh07+rh6AAAA/xQygTI926HZK3bJ6TZqDJI/ZrNaFGa1aG58eyV3jVVFRYWmTp2q559/XgkJCXr55Zd1ySWX+LByAAAA/xYSgfL5jFw9s3KPx+uM7tJcKxZO1I4dO/SHP/xBEyZMYMQNAABCXtBfQ5me7fBKmJSkV7YekuWSNtqw4S/q0qWLV9YEAAAIdEEdKA8Ul2v2il1VbrumWWM91vdadWrZVE0bN9L3R0/o/c8L9PdNDp1wuqte0DAU3muYWrS6wYdVAwAABJagfmzQzOU75azieskrLolQ+qjOuvmqS/RW9nda+HGuPvv2mB7re62eebCGsGixyOk2NHP5Th9WDQAAEFiCtkOZm1+izLzCKrfFd7hCTRs30rDXtyvvULkkaZn9e1ks0qCbf6JLLgrTsRNVP4/S5TaUmVeovIIStY6p/pFCAAAAoSJoO5RLsxyyWau+YSYqwiZJKiw9ec7XD5VWyuU2dNJVzcj7NJvVojc3O7xTKAAAQIAL2kCZsbug2scDZe8/IkmaP7Cdrmtxsa64JEIDbohRcuer9OaWb3X8ZM2B0uU2lLGnwNslAwAABKSgHHmXVjjlKC6vdvv6vcX6U8bXeuS2a3RHu+Y/fP2vmfv03Kff1OkYjqJylVU4FRURlP8JAQAA6iwo09D+ojLV9nDNg0dPaOv+I/rkq0M6cvyk+rSO1iO3XaPC0kq9tfW7Wo9hSNpXVKb2Vzb1Ss0AAACBKigDZWV1j/057d72MZpzfzvd90KW8ksqJEmrviqU1WLRlDt/qvd35evo8apvyqnPcQAAAEJBUF5DGR5W87eV0vkqffnf0h/C5Blr9hQqMtymG66o293btR0HAAAgFARlIoqLjlJNL0SMvjhctip2aHT6i9XdHX42y+njAAAAhLqgDJRREWGKbRZZ7fZ9ReW6/oomuqZZ43O+fl/7FnK5De3OL631GLHRkdyQAwAAoCANlJLUr11MtZ3GVzc5ZLVKbwzvpHG3X6Pkzlfqr8k3qf91zfVuzvc6VFpZ49o2q0X92sb4omwAAICAYzEMo7YbogNSbn6J7vrjumq3d7iyiSb2vlbXX3GxLo1spG+PnNC/P/uvXtnokKsO/0lWTe7Nm3IAAAAUxIFSkoa9kqWNXxdV+4DzC2GzWtSrVbTeGN3da2sCAAAEsqAdeUvSgsEdFFaHG2zqI8xq0YLBHby6JgAAQCAL6kDZslmk5sa39+qa8+Lbq2UNN/wAAACEmqAOlJKU3DVWU+9u65W1nri7nZK6xnplLQAAgGAR1NdQni0926HZK3bJ6TbqdU2lzWpRmNWiefHtCZMAAABVCJlAKUkHiss1c/lOZeYVyma11Bgsz2y/vfXlWjC4A2NuAACAaoRUoDwjN79ES7McythTIEdRuc7+D2DRqYeW92sbo7QesTwaCAAAoBYhGSjPVlbh1L6iMlU63QoPsyouOoo34AAAANRDyAdKAAAAeCbo7/IGAACAbxEoAQAA4BECJQAAADxCoAQAAIBHCJQAAADwCIESAAAAHiFQAgAAwCMESgAAAHiEQAkAAACPECgBAADgEQIlAAAAPEKgBAAAgEcIlAAAAPAIgRIAAAAeIVACAADAIwRKAAAAeIRACQAAAI8QKAEAAOARAiUAAAA8QqAEAACARwiUAAAA8AiBEgAAAB4hUAIAAMAjBEoAAAB4hEAJAAAAjxAoAQAA4BECJQAAADxCoAQAAIBHCJQAAADwCIESAAAAHiFQAgAAwCMESgAAAHiEQAkAAACPECgBAADgEQIlAAAAPEKgBAAAgEcIlAAAAPDI/wd/x4D0sK0GRwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import networkx as nx\n",
    "\n",
    "kill_chain_example_edge_dict = {1: [\"B\", \"F\"], 4: [\"F\", \"C\"], 8: [\"C\"]}\n",
    "\n",
    "B_example = nx.Graph()\n",
    "B_example.add_nodes_from([1, 4, 8], bipartite=0)\n",
    "B_example.add_nodes_from([\"B\", \"C\", \"F\"], bipartite=1)\n",
    "for u in [1, 4, 8]:\n",
    "    for v in kill_chain_example_edge_dict[u]:\n",
    "        B_example.add_edge(u, v)\n",
    "nx.draw(B_example, with_labels=True, font_color=\"whitesmoke\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "835d0f73-596d-4944-beed-0ae30db99471",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:12.603546Z",
     "iopub.status.busy": "2024-05-07T15:33:12.602346Z",
     "iopub.status.idle": "2024-05-07T15:33:12.885443Z",
     "shell.execute_reply": "2024-05-07T15:33:12.884688Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, Y = nx.bipartite.sets(B_example)\n",
    "nx.draw(\n",
    "    B_example,\n",
    "    pos=nx.bipartite_layout(B_example, X),\n",
    "    with_labels=True,\n",
    "    font_color=\"whitesmoke\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bb821e89-5900-4fb5-b9ed-5b971ee953de",
   "metadata": {},
   "source": [
    "From this graph we can get the following dual graph $DV$ :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7be81a3d-e521-46e3-a853-87488c5e9d72",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:12.892554Z",
     "iopub.status.busy": "2024-05-07T15:33:12.891380Z",
     "iopub.status.idle": "2024-05-07T15:33:13.094803Z",
     "shell.execute_reply": "2024-05-07T15:33:13.094144Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "B_dual = nx.Graph()\n",
    "\n",
    "B_2 = B.copy()\n",
    "\n",
    "S, T = nx.bipartite.sets(B_2)\n",
    "# nx.draw(B_2, pos=nx.bipartite_layout(B_2,S), with_labels=True)\n",
    "\n",
    "\n",
    "# iterate over one side of the bipartite graph\n",
    "# and construct the dual from the paper.\n",
    "def gen_dual(B_2, S=None):\n",
    "    B_2c = B_2.copy()\n",
    "    DualG = nx.Graph()\n",
    "    if not S:\n",
    "        S, _ = nx.bipartite.sets(B_2c)\n",
    "    for s in S:\n",
    "        DualG.add_node(s)\n",
    "        # iter over all nodes s talks to\n",
    "        for t1 in B_2c.neighbors(s):\n",
    "            for t2 in B_2c.neighbors(t1):\n",
    "                if t2 != s:\n",
    "                    DualG.add_edge(s, t2)\n",
    "        B_2c.remove_node(s)\n",
    "    return DualG\n",
    "\n",
    "\n",
    "DG = gen_dual(B_2, S)\n",
    "nx.draw(DG, pos=nx.circular_layout(DG), with_labels=True, font_color=\"whitesmoke\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e4a10cef-08ee-459c-9f08-23768d021075",
   "metadata": {},
   "source": [
    "**_<div class=\"alert alert-info\">Above is the Dual Graph we want to solve the Minimum Vertex Cover (MVC) for</div>_**\n",
    "\n",
    "### Building the optimization model from a graph input\n",
    "\n",
    "To build the optimization model we will utilize Pyomo.\n",
    "Pyomo is a Python-based, open-source optimization modeling language with a diverse set of optimization capabilities.\n",
    "We will formalize our QUBO model into a pyomo model object.\n",
    "\n",
    "**_Classiq seamlessly incorporates the pyomo object into its Model_**\n",
    "\n",
    "We proceed by defining the pyomo model that will be used to build a Classiq Model.\n",
    "Using the mathematical formulation defined above:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3d2591c5-90e8-47b7-b554-ee1d06181e8a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:13.099748Z",
     "iopub.status.busy": "2024-05-07T15:33:13.098629Z",
     "iopub.status.idle": "2024-05-07T15:33:13.238193Z",
     "shell.execute_reply": "2024-05-07T15:33:13.237390Z"
    }
   },
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import pyomo.core as pyo\n",
    "\n",
    "\n",
    "def mvc(graph: nx.Graph) -> pyo.ConcreteModel:\n",
    "    model = pyo.ConcreteModel()\n",
    "    model.x = pyo.Var(graph.nodes, domain=pyo.Binary)\n",
    "    nodes = list(graph.nodes())\n",
    "\n",
    "    @model.Constraint(graph.edges)\n",
    "    def full_cover(model, i, j):\n",
    "        # all sets are covered\n",
    "        return ((1 - model.x[i]) * (1 - model.x[j])) == 0\n",
    "\n",
    "    def obj_expression(model):\n",
    "        # number of nodes selected\n",
    "        return sum(model.x.values())\n",
    "\n",
    "    model.cost = pyo.Objective(rule=obj_expression, sense=pyo.minimize)\n",
    "\n",
    "    return model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1488cda-10a3-4013-a2e1-8930eb3f269d",
   "metadata": {},
   "source": [
    "The model contains:\n",
    "\n",
    "- Binary variable declaration for each node (model.x) indicating whether the variable is chosen for the set.\n",
    "- Constraint rule: ensures that all edges are covered.\n",
    "- Objective rule: minimize the number of nodes selected."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6f8b263c-67d6-445a-a5af-6671fde962d8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:13.243700Z",
     "iopub.status.busy": "2024-05-07T15:33:13.242442Z",
     "iopub.status.idle": "2024-05-07T15:33:13.249930Z",
     "shell.execute_reply": "2024-05-07T15:33:13.249236Z"
    }
   },
   "outputs": [],
   "source": [
    "mvc_model = mvc(DG)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "eec97fca-8c24-49f2-83e7-a6f8c15c9a0e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:13.254518Z",
     "iopub.status.busy": "2024-05-07T15:33:13.253345Z",
     "iopub.status.idle": "2024-05-07T15:33:13.263662Z",
     "shell.execute_reply": "2024-05-07T15:33:13.262989Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 Set Declarations\n",
      "    full_cover_index : Size=1, Index=None, Ordered=False\n",
      "        Key  : Dimen : Domain : Size : Members\n",
      "        None :     2 :    Any :   18 : {(1, 2), (1, 3), (1, 4), (1, 6), (1, 7), (1, 8), (2, 3), (2, 4), (2, 7), (3, 8), (4, 6), (4, 7), (4, 8), (6, 5), (7, 6), (7, 8), (8, 5), (8, 6)}\n",
      "    x_index : Size=1, Index=None, Ordered=False\n",
      "        Key  : Dimen : Domain : Size : Members\n",
      "        None :     1 :    Any :    8 : {1, 2, 3, 4, 5, 6, 7, 8}\n",
      "\n",
      "1 Var Declarations\n",
      "    x : Size=8, Index=x_index\n",
      "        Key : Lower : Value : Upper : Fixed : Stale : Domain\n",
      "          1 :     0 :  None :     1 : False :  True : Binary\n",
      "          2 :     0 :  None :     1 : False :  True : Binary\n",
      "          3 :     0 :  None :     1 : False :  True : Binary\n",
      "          4 :     0 :  None :     1 : False :  True : Binary\n",
      "          5 :     0 :  None :     1 : False :  True : Binary\n",
      "          6 :     0 :  None :     1 : False :  True : Binary\n",
      "          7 :     0 :  None :     1 : False :  True : Binary\n",
      "          8 :     0 :  None :     1 : False :  True : Binary\n",
      "\n",
      "1 Objective Declarations\n",
      "    cost : Size=1, Index=None, Active=True\n",
      "        Key  : Active : Sense    : Expression\n",
      "        None :   True : minimize : x[1] + x[2] + x[3] + x[4] + x[5] + x[6] + x[7] + x[8]\n",
      "\n",
      "1 Constraint Declarations\n",
      "    full_cover : Size=18, Index=full_cover_index, Active=True\n",
      "        Key    : Lower : Body                  : Upper : Active\n",
      "        (1, 2) :   0.0 : (1 - x[1])*(1 - x[2]) :   0.0 :   True\n",
      "        (1, 3) :   0.0 : (1 - x[1])*(1 - x[3]) :   0.0 :   True\n",
      "        (1, 4) :   0.0 : (1 - x[1])*(1 - x[4]) :   0.0 :   True\n",
      "        (1, 6) :   0.0 : (1 - x[1])*(1 - x[6]) :   0.0 :   True\n",
      "        (1, 7) :   0.0 : (1 - x[1])*(1 - x[7]) :   0.0 :   True\n",
      "        (1, 8) :   0.0 : (1 - x[1])*(1 - x[8]) :   0.0 :   True\n",
      "        (2, 3) :   0.0 : (1 - x[2])*(1 - x[3]) :   0.0 :   True\n",
      "        (2, 4) :   0.0 : (1 - x[2])*(1 - x[4]) :   0.0 :   True\n",
      "        (2, 7) :   0.0 : (1 - x[2])*(1 - x[7]) :   0.0 :   True\n",
      "        (3, 8) :   0.0 : (1 - x[3])*(1 - x[8]) :   0.0 :   True\n",
      "        (4, 6) :   0.0 : (1 - x[4])*(1 - x[6]) :   0.0 :   True\n",
      "        (4, 7) :   0.0 : (1 - x[4])*(1 - x[7]) :   0.0 :   True\n",
      "        (4, 8) :   0.0 : (1 - x[4])*(1 - x[8]) :   0.0 :   True\n",
      "        (6, 5) :   0.0 : (1 - x[6])*(1 - x[5]) :   0.0 :   True\n",
      "        (7, 6) :   0.0 : (1 - x[7])*(1 - x[6]) :   0.0 :   True\n",
      "        (7, 8) :   0.0 : (1 - x[7])*(1 - x[8]) :   0.0 :   True\n",
      "        (8, 5) :   0.0 : (1 - x[8])*(1 - x[5]) :   0.0 :   True\n",
      "        (8, 6) :   0.0 : (1 - x[8])*(1 - x[6]) :   0.0 :   True\n",
      "\n",
      "5 Declarations: x_index x full_cover_index full_cover cost\n"
     ]
    }
   ],
   "source": [
    "mvc_model.pprint()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89bb2f19-2d05-478c-86e8-3f700b283056",
   "metadata": {},
   "source": [
    "**We are set to go!**\n",
    "\n",
    "## **Solving with Classiq**\n",
    "\n",
    "We go through the steps of solving the problem with Classiq, using QAOA algorithm [[2](#QAOA)].\n",
    "\n",
    "### Quantum Approximate Optimization Algorithm (QAOA)\n",
    "\n",
    "QAOA is a quantum algorithm designed to solve combinatorial optimization problems, making it an ideal candidate for tackling the Minimum Vertex Cover problem in large-scale WSNs.\n",
    "\n",
    "Applying QAOA to the modeled graph, we iteratively adjust parameters to navigate the solution space and identify the minimum vertex cover. Quantum computing's unique ability to explore multiple solution candidates simultaneously accelerates the optimization process, significantly outperforming classical algorithms for complex problems.\n",
    "\n",
    "**_<div class=\"alert alert-success\">To solve the Patching Prioritization Problem with Classiq we will: 1. Build a Classiq Model 2. Generate a parameterized Quantum Circuit 3. Execute the circuit and optimize parameters to get the optimal solution</div>_**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "46cb6972-5c17-47cc-82f3-c1957c27d07a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:13.268186Z",
     "iopub.status.busy": "2024-05-07T15:33:13.267033Z",
     "iopub.status.idle": "2024-05-07T15:33:15.585398Z",
     "shell.execute_reply": "2024-05-07T15:33:15.584712Z"
    }
   },
   "outputs": [],
   "source": [
    "import classiq\n",
    "\n",
    "# classiq.authenticate(overwrite=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17ea14ec-dbb7-487c-b4f1-cabc8d5e3c29",
   "metadata": {
    "tags": []
   },
   "source": [
    "## 1. Build a Classiq Model\n",
    "\n",
    "In order to solve the Pyomo model defined above, we use the Classiq combinatorial optimization engine. For the quantum part of the QAOA algorithm (`QAOAConfig`) - define the number of repetitions (`num_layers`):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "816b468f-a59f-4f2f-8337-4a9d66548425",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:15.588202Z",
     "iopub.status.busy": "2024-05-07T15:33:15.587832Z",
     "iopub.status.idle": "2024-05-07T15:33:15.591300Z",
     "shell.execute_reply": "2024-05-07T15:33:15.590710Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from classiq import construct_combinatorial_optimization_model\n",
    "from classiq.applications.combinatorial_optimization import OptimizerConfig, QAOAConfig\n",
    "\n",
    "qaoa_config = QAOAConfig(num_layers=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "db34d5ac-6877-4285-8dec-7bf7b37eb783",
   "metadata": {},
   "source": [
    "For the classical optimization part of the QAOA algorithm we define the classical optimization configuration through the `OptimizerConfig` object where the maximum number of classical iterations (`max_iteration`) and the $\\alpha$-parameter (`alpha_cvar`) for running CVaR-QAOA, an improved variation of the QAOA algorithm [[3](#cvar)], are defined:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e41d0dd3-4135-4330-9ba3-c1b30c339a74",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:15.593616Z",
     "iopub.status.busy": "2024-05-07T15:33:15.593314Z",
     "iopub.status.idle": "2024-05-07T15:33:15.596375Z",
     "shell.execute_reply": "2024-05-07T15:33:15.595756Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "optimizer_config = OptimizerConfig(max_iteration=60, alpha_cvar=0.9)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "214d6051-43b8-4b9d-8454-f9cdb62b4cf0",
   "metadata": {},
   "source": [
    "Lastly, we load the model, based on the problem and algorithm parameters, which we can use to solve the problem:\n",
    "\n",
    "**_Classiq seamlessly incorporates the classical pyomo optimization object into its Model_**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "0243019c-6fc3-435f-b6ec-8b4355d6660c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:15.598528Z",
     "iopub.status.busy": "2024-05-07T15:33:15.598354Z",
     "iopub.status.idle": "2024-05-07T15:33:15.827492Z",
     "shell.execute_reply": "2024-05-07T15:33:15.826853Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "qmod = construct_combinatorial_optimization_model(\n",
    "    pyo_model=mvc_model,\n",
    "    qaoa_config=qaoa_config,\n",
    "    optimizer_config=optimizer_config,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1fcc3812-c9d0-421c-84bb-38047297b33f",
   "metadata": {},
   "source": [
    "Our Classiq Model (`qmod`) already incorporates the QAOA execution logic. However, we can set the quantum backend we wish to execute on so the Classiq synthesis engine will take it into consideration when generating an optimized Quantum Circuit:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "53bc041f-065c-44d2-b220-dafd9d0504ac",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:15.830660Z",
     "iopub.status.busy": "2024-05-07T15:33:15.830176Z",
     "iopub.status.idle": "2024-05-07T15:33:15.845871Z",
     "shell.execute_reply": "2024-05-07T15:33:15.845135Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from classiq import set_execution_preferences\n",
    "from classiq.execution import ClassiqBackendPreferences, ExecutionPreferences\n",
    "\n",
    "backend_preferences = ExecutionPreferences(\n",
    "    backend_preferences=ClassiqBackendPreferences(backend_name=\"aer_simulator\")\n",
    ")\n",
    "\n",
    "qmod = set_execution_preferences(qmod, backend_preferences)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3460d69b-5b0e-453f-9259-d9b71f37f0ad",
   "metadata": {},
   "source": [
    "**_<div class=\"alert alert-success\">That's it! Our Classiq Model is set!!</div>_**\n",
    "We can write our Model to file and view all quantum configurations and execution logic."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "91fea2e9-0ce2-43cb-850c-3ba65a8a76c4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:15.848155Z",
     "iopub.status.busy": "2024-05-07T15:33:15.847971Z",
     "iopub.status.idle": "2024-05-07T15:33:15.864596Z",
     "shell.execute_reply": "2024-05-07T15:33:15.863984Z"
    }
   },
   "outputs": [],
   "source": [
    "from classiq import write_qmod\n",
    "\n",
    "write_qmod(qmod, \"patch_min_vertex_cover\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ef41c0e-6963-4784-91c9-5275bee745d0",
   "metadata": {},
   "source": [
    "_The above file can also be loaded to our web IDE for further analysis and ease of execution._\n",
    "\n",
    "## 2. Generate a parameterized Quantum Circuit\n",
    "\n",
    "**_<div class=\"alert alert-success\">Super simple! We can `synthesize` our Model and view the QAOA circuit (ansatz) used to solve the optimization problem:</div>_**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "1d71e29a-5d53-49c4-84b2-45f59be4da31",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:15.866965Z",
     "iopub.status.busy": "2024-05-07T15:33:15.866776Z",
     "iopub.status.idle": "2024-05-07T15:33:18.393975Z",
     "shell.execute_reply": "2024-05-07T15:33:18.393239Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Opening: https://platform.classiq.io/circuit/8826dbfa-6969-4307-8d84-deba26add946?version=0.41.0.dev39%2B79c8fd0855\n"
     ]
    }
   ],
   "source": [
    "from classiq import show, synthesize\n",
    "\n",
    "qprog = synthesize(qmod)\n",
    "show(qprog)"
   ]
  },
  {
   "attachments": {
    "7a187715-5e6c-459c-bc2e-34e6a8ff4c66.jpg": {
     "image/jpeg": "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"
    }
   },
   "cell_type": "markdown",
   "id": "f66e155e-36bf-4e5b-8723-3f83ce200736",
   "metadata": {},
   "source": [
    "![e7d81787-afb8-4545-8eca-cad399a480e7.jpg](attachment:7a187715-5e6c-459c-bc2e-34e6a8ff4c66.jpg)\n",
    "\n",
    "## 3. Execute the circuit: optimize parameters to get the optimal solution\n",
    "\n",
    "**_<div class=\"alert alert-success\">To solve the problem using the generated quantum program, we just use the `execute` function:</div>_**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "62d12d20-1c80-4a9e-bb6b-b1fddc6cbe40",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:18.398738Z",
     "iopub.status.busy": "2024-05-07T15:33:18.397541Z",
     "iopub.status.idle": "2024-05-07T15:33:20.816770Z",
     "shell.execute_reply": "2024-05-07T15:33:20.816109Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from classiq import execute\n",
    "\n",
    "res = execute(qprog).result()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "620ea6a0-cd05-41a9-a2ed-9631c680d2e6",
   "metadata": {},
   "source": [
    "### Analyzing the execution results\n",
    "\n",
    "#### Energy convergence\n",
    "\n",
    "First, let's check the Energy convergence through the iterations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "02454398-b229-403c-824a-b1eb539fbc1f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:20.821298Z",
     "iopub.status.busy": "2024-05-07T15:33:20.820213Z",
     "iopub.status.idle": "2024-05-07T15:33:20.852977Z",
     "shell.execute_reply": "2024-05-07T15:33:20.852256Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/jpeg": "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",
      "image/png": "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",
      "text/plain": [
       "<PIL.JpegImagePlugin.JpegImageFile image mode=RGB size=640x480>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from classiq.execution import VQESolverResult\n",
    "\n",
    "vqe_result = VQESolverResult.parse_obj(res[0].value)\n",
    "vqe_result.convergence_graph"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "615ed612-b835-4bf0-aa92-92d30ef8006d",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### Optimization Results\n",
    "\n",
    "We can also examine the statistics of the algorithm:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "516d78ba-2951-46eb-b1af-efe877513556",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:20.858167Z",
     "iopub.status.busy": "2024-05-07T15:33:20.856904Z",
     "iopub.status.idle": "2024-05-07T15:33:20.986185Z",
     "shell.execute_reply": "2024-05-07T15:33:20.985446Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>probability</th>\n",
       "      <th>cost</th>\n",
       "      <th>solution</th>\n",
       "      <th>count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>202</th>\n",
       "      <td>0.001</td>\n",
       "      <td>5.0</td>\n",
       "      <td>[1, 1, 0, 0, 0, 1, 1, 1]</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>198</th>\n",
       "      <td>0.001</td>\n",
       "      <td>5.0</td>\n",
       "      <td>[1, 1, 0, 1, 0, 1, 0, 1]</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.011</td>\n",
       "      <td>6.0</td>\n",
       "      <td>[1, 1, 0, 0, 0, 1, 0, 1]</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>141</th>\n",
       "      <td>0.002</td>\n",
       "      <td>6.0</td>\n",
       "      <td>[1, 1, 0, 1, 0, 1, 1, 1]</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>113</th>\n",
       "      <td>0.003</td>\n",
       "      <td>6.0</td>\n",
       "      <td>[1, 1, 0, 1, 1, 0, 1, 1]</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     probability  cost                  solution  count\n",
       "202        0.001   5.0  [1, 1, 0, 0, 0, 1, 1, 1]      1\n",
       "198        0.001   5.0  [1, 1, 0, 1, 0, 1, 0, 1]      1\n",
       "14         0.011   6.0  [1, 1, 0, 0, 0, 1, 0, 1]     11\n",
       "141        0.002   6.0  [1, 1, 0, 1, 0, 1, 1, 1]      2\n",
       "113        0.003   6.0  [1, 1, 0, 1, 1, 0, 1, 1]      3"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "from classiq.applications.combinatorial_optimization import (\n",
    "    get_optimization_solution_from_pyo,\n",
    ")\n",
    "\n",
    "solution = get_optimization_solution_from_pyo(\n",
    "    mvc_model, vqe_result=vqe_result, penalty_energy=qaoa_config.penalty_energy\n",
    ")\n",
    "\n",
    "optimization_result = pd.DataFrame.from_records(solution)\n",
    "optimization_result.sort_values(by=\"cost\", ascending=True).head(5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "687f492b-a4a5-49c6-964c-8959b035bb93",
   "metadata": {},
   "source": [
    "And the histogram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "31a4e74d-b2b8-42e0-826d-de7b51de1fe8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:20.990988Z",
     "iopub.status.busy": "2024-05-07T15:33:20.989919Z",
     "iopub.status.idle": "2024-05-07T15:33:21.497895Z",
     "shell.execute_reply": "2024-05-07T15:33:21.497260Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[<Axes: title={'center': 'cost'}>]], dtype=object)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "optimization_result.hist(\"cost\", weights=optimization_result[\"probability\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3a890a1-c5d4-409d-b9a3-d7ffd4fdd6c0",
   "metadata": {},
   "source": [
    "#### Plot the optimal solution!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "4326e84b-26f6-4ea9-a53b-090fb3658b8c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:21.502457Z",
     "iopub.status.busy": "2024-05-07T15:33:21.501369Z",
     "iopub.status.idle": "2024-05-07T15:33:21.506389Z",
     "shell.execute_reply": "2024-05-07T15:33:21.505816Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "best_solution = optimization_result.solution[optimization_result.cost.idxmin()]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "2449caf6-d3c2-49b1-81cd-0e33e248cc18",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:21.510259Z",
     "iopub.status.busy": "2024-05-07T15:33:21.509283Z",
     "iopub.status.idle": "2024-05-07T15:33:21.515459Z",
     "shell.execute_reply": "2024-05-07T15:33:21.514843Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 1, 0, 1, 0, 1, 0, 1]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "best_solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "fed415f4-67ed-4a85-9138-553c75972ac8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:21.519400Z",
     "iopub.status.busy": "2024-05-07T15:33:21.518298Z",
     "iopub.status.idle": "2024-05-07T15:33:21.788903Z",
     "shell.execute_reply": "2024-05-07T15:33:21.788299Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def draw_solution(graph: nx.Graph, solution: list):\n",
    "    solution_nodes = [v for v in graph.nodes if solution[v - 1]]\n",
    "    solution_edges = [\n",
    "        (u, v) for u, v in graph.edges if u in solution_nodes or v in solution_nodes\n",
    "    ]\n",
    "    nx.draw_kamada_kawai(graph, with_labels=True)\n",
    "    nx.draw_kamada_kawai(\n",
    "        graph,\n",
    "        nodelist=solution_nodes,\n",
    "        edgelist=solution_edges,\n",
    "        node_color=\"r\",\n",
    "        edge_color=\"y\",\n",
    "    )\n",
    "\n",
    "\n",
    "draw_solution(DG, best_solution)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8e457255-9924-4f9d-abcd-2535e21be8cb",
   "metadata": {},
   "source": [
    "**_<div class=\"alert alert-success\">We obtained a set of vertices that form the minimum vertex cover!</div>_**\n",
    "\n",
    "Removing these nodes from our original vulnerability graph $V$ we get:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "f21fd67b-6c0f-4a72-a9b8-3e5a8f464e23",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:33:21.793180Z",
     "iopub.status.busy": "2024-05-07T15:33:21.792111Z",
     "iopub.status.idle": "2024-05-07T15:33:22.012648Z",
     "shell.execute_reply": "2024-05-07T15:33:22.011930Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "check_B = B.copy()\n",
    "vc2 = [v for v in DG.nodes if best_solution[v - 1]]\n",
    "for v in vc2:\n",
    "    check_B.remove_node(v)\n",
    "\n",
    "nx.draw(\n",
    "    check_B,\n",
    "    pos=nx.bipartite_layout(check_B, S),\n",
    "    with_labels=True,\n",
    "    font_color=\"whitesmoke\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0a072c2b-b650-4526-9789-70a3d3b9e95f",
   "metadata": {},
   "source": [
    "**_<div class=\"alert alert-success\">Given the the MVCV vulnerability nodes are patched - the rest of the vulnerabilities are disconnected from each other. This will significantly break most of our network Kill-Chains</div>_**\n",
    "\n",
    "## Larger scale models\n",
    "\n",
    "TBD\n",
    "\n",
    "**_<div class=\"alert alert-success\">The leveraging of short time solutions to NP hard problems that are present in cybersecurity data is a potentially rich vein of exciting possibilities. The fast and efficient resolution of cybersecurity data problems also helps reduce the analysis and reaction times of security teams</div>_**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e82b5953-122a-4707-8ab6-f741f14f13a5",
   "metadata": {
    "tags": []
   },
   "source": [
    "\n",
    "## References\n",
    "\n",
    "<a id='Patch'>[1]</a>: [Cutting Medusa's Path -- Tackling Kill-Chains with Quantum Computing.](https://arxiv.org/abs/2211.13740)\n",
    "\n",
    "<a id='QAOA'>[2]</a>: [Farhi, Edward, Jeffrey Goldstone, and Sam Gutmann. \"A quantum approximate optimization algorithm.\" arXiv preprint arXiv:1411.4028 (2014).](https://arxiv.org/abs/1411.4028)\n",
    "\n",
    "<a id='cvar'>[3]</a>: [Barkoutsos, Panagiotis Kl, et al. \"Improving variational quantum optimization using CVaR.\" Quantum 4 (2020): 256.](https://arxiv.org/abs/1907.04769)\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  },
  "vscode": {
   "interpreter": {
    "hash": "a07aacdcc8a415e7643a2bc993226848ff70704ebef014f87460de9126b773d0"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
